A grindstone of radius \( 4.0 \mathrm{~m} \) is initially spinning with an angular speed of \( 8...

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A grindstone of radius
\( 4.0 \mathrm{~m} \) is initially spinning with an angular speed of \( 8.0 \mathrm{rad} / \mathrm{s} \).
The angular speed is then increased to \( 10 \mathrm{rad} / \mathrm{s} \) over the next \( 4.0 \mathrm{~s} \). Assume that the angular acceleration is constant.
Through how many revolutions does the grindstone turn during the \( 4.0 \) s interval?
(A) \( 0.64 \)
(B) \( 4.0 \)
(C) \( 3.8 \)
(D) \( 5.7 \)
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